The minimum value of 64 ` sec theta+27 "cosec" theta ` where ` theta in (0,(pi)/(2))` is _________

Explanation

To find the minimum value of the expression \(64 \sec \theta + 27 \csc \theta\) where \(\theta\) is in the interval \((0, \frac{\pi}{2})\), we can follow these steps:

### Step 1: Define the function
Let
\[ f(\theta) = 64 \sec \theta + 27 \csc \theta. \]

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